1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
chubhunter [2.5K]
3 years ago
7

Alexis and Jessica are shopping. Alexis buys 4 pairs of pants and 3 necklaces and pays $216. Jessica buys 7 pairs of pants and 2

necklaces and pays $300. Solve for the price of each item. Each pair of pants costs _____ dollars Each necklace costs________ dollars
Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Step-by-step explanation:

let us keep the price of pants as <em>x</em>

and price of necklace as <em>y</em>

Simultaneous equations comes as follows:

<em>4x</em><em> </em><em>+</em><em> </em><em>3y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>6</em><em> </em>for Alexis

<em>7x</em><em> </em><em>+</em><em> </em><em>2y</em><em> </em><em>=</em><em> </em><em>3</em><em>0</em><em>0</em><em> </em><em>for</em><em> </em><em>Jess</em>

<em>we'll</em><em> </em><em>make</em><em> </em><em>either</em><em> </em><em>x</em><em> </em><em>or</em><em> </em><em>y</em><em> </em><em>equal</em><em> </em>

<em>here</em><em> </em><em>let's</em><em> </em><em>make</em><em> </em><em>y</em><em> </em><em>equal</em><em> </em>

<em>2</em><em> </em><em>(</em><em> </em><em>4x</em><em> </em><em>+</em><em> </em><em>3y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>6</em><em>)</em>

<em>3</em><em> </em><em>(</em><em> </em><em>7x</em><em> </em><em>+</em><em> </em><em>2y</em><em> </em><em>=</em><em> </em><em>3</em><em>0</em><em>0</em><em>)</em>

<em>8x</em><em> </em><em>+</em><em> </em><em>6y</em><em> </em><em>=</em><em> </em><em>4</em><em>3</em><em>2</em>

<em>21x</em><em> </em><em>+</em><em> </em><em>6y</em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>0</em>

<em>21x</em><em> </em><em>-</em><em> </em><em>8x</em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>0</em><em> </em><em>-</em><em> </em><em>4</em><em>3</em><em>2</em>

<em>13x</em><em> </em><em>=</em><em> </em><em>4</em><em>6</em><em>8</em>

<em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>3</em><em>6</em>

<em>so</em><em> </em><em>a</em><em> </em><em>pant</em><em> </em><em>costs</em><em> </em><em>$</em><em>3</em><em>6</em>

<em>And</em><em> </em>

<em>3y</em><em> </em><em>=</em><em> </em><em>7</em><em>2</em>

<em>y</em><em> </em><em>=</em><em> </em><em>$</em><em> </em><em>2</em><em>4</em>

<em>so</em><em> </em><em>a</em><em> </em><em>necklace</em><em> </em><em>costs</em><em> </em><em>$</em><em>3</em><em>6</em>

You might be interested in
Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the
Leto [7]

Answer:

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Z score

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 180, σ = 8.

For x = 185:

z = (185 - 180)/8 = 0.625

For x = 190:

z = (190 - 180)/8 = 1.25

P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

3 0
2 years ago
Find the value of xx, yy, and zz in the rhombus below
Kamila [148]

Answer:

(0,6), (0,4), (0,-10)

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
The two cones below are similar. What is the value of x?
ipn [44]
The answer is c have a good day
8 0
3 years ago
Please can someone work it out!!! I have 5 mins 13 points :)
uysha [10]

Answer:

49m^3

Step-by-step explanation:

6287-6238=49m^3

4 0
2 years ago
Find the missing side ?
olga nikolaevna [1]

Answer:

37

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 4 donuts cost 6.20 how much would 12 donuts cost?
    9·2 answers
  • What is the factores form of 4x^2+23x-72
    7·1 answer
  • Write the equation is logarithmic form 33 = 27
    5·1 answer
  • Edith is x years old. Her sister,Madison is six years older than her. Their mother is twice as old as Madison. Their aunt, Eliza
    7·1 answer
  • NEED HELP ASAP DUE TOMMOROW MASTERY GRADE
    5·2 answers
  • 1<br> The slope of a vertical line is:<br> (a) o<br> (b) Undefined<br> R<br> (c) 1<br> (d) -1
    5·1 answer
  • Which set does not contain –3?
    13·1 answer
  • Given the slope of the line containing the points (7 , b) and (-2 , 5) is 4/9, find the value of b​
    13·1 answer
  • Who is the an employer?
    10·2 answers
  • If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the ans
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!